A numerical controller, which can handle information on a use tool, calculates the shape of a workpiece being machined, based on an input machining program, shape information of the use tool, shape information of a unmachined workpiece, and a tool trajectory, and sets, as a movable range of the tool, a range in which the tool never contacts the workpiece being machined, based on the calculated shape of the workpiece being machined, if manual operation is performed during machining.